Geometry; 10/17

We spent time today reviewing for our chapter 3 quiz tomorrow.  With partners, the students worked through 8-10 review problems together that are indicative of what they will see tomorrow on the quiz.  They also worked on a review sheet towards the end of the period that will help prepare them for the quiz.  The answers to the review sheet appear below.


Assignment:  Chapter 3 quiz review sheet


Properties of Parallel Lines

1.  skip
2.  skip
3.  AIA
4.  corresponding angles
5.  SSI angles
6.  none
7.  angles 1, 13, and 15
8.  angles 2, 4, and 6
9.  angles 1, 3, 5, 7, 11, 13, 15
10.  angles 2, 4, 6, 8, 10, 12, 14, 16
11.  angle 11 = 55;  angle 15 = 55
12.  angle 4 = y;  angle 3 = 180 - y
13.  x = 70;  y = 90
14.  x = 15;  y = 40

Proving Lines Parallel

1.  GA parallel to EC
2.  GE parallel to AD
3.  GB parallel to ED
4.  none
5.  GB parallel to ED
6.  GB parallel to ED
7.  AD parallel to GE
8.  GB parallel to ED
9.  GE parallel to AD
10.  x = 9;  y = 22
11.  x = 21;  y = 17
12.   proof steps
        1.                                                1.  given
        2.                                                 2.  def. of angle bisector
        3.  angle 1 congruent angle 2      3.
        4.                                                 4.  transitive / subst.
        5.                                                 5.  if AIA congruent, then lines parallel



Solving for x:

19.  x = 4
20.  x = 7
21.  x = 8
22.  x = -7
23.  x = 9
24.  x = 5
25.  x = -6;  angle is 90
26.  x = 4;  angle is 85
27.  x = 10;  angle is 60
28.  x = -9;  angle is 80


Proof #4

statements                                    reasons
l parallel to m                               given
angle 1 cong. angle 2                    given
angle 1 cong. angle 4                   if lines parallel, Corr. angles congruent
angle 2 cong. angle 4                   substitution.


Proof #5

statements                                     reasons
angle 1 cong. angle 2                    given
angle 2 cong. angle 4                    given
angle 1 cong. angle 4                    subst.
line l parallel to line m                 if corr. angles congruent, then lines parallel